Select the correct option for one light-year.

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Question

(D) light-year is the distance that light travels in a vacuum in one Julian year ($365.25$ days).
Speed of light $(c)$ $\approx 3 	imes 10^8 	ext{

Vedclass · Accepted Answer

$9.461 	imes 10^{12} 	ext{ km}$

Vedclass · Answer

(D) light-year is the distance that light travels in a vacuum in one Julian year ($365.25$ days).
Speed of light $(c)$ $\approx 3 	imes 10^8 	ext{ m/s}$.
Time in one year $(t)$ $= 365.25 	imes 24 	imes 60 	imes 60 	ext{ seconds} \approx 3.15576 	imes 10^7 	ext{ s}$.
Distance $(d)$ $= c 	imes t = (3 	imes 10^8 	ext{ m/s}) 	imes (3.15576 	imes 10^7 	ext{ s}) \approx 9.461 	imes 10^{15} 	ext{ m}$.
Converting to kilometers: $9.461 	imes 10^{15} 	ext{ m} = 9.461 	imes 10^{12} 	ext{ km}$.
Therefore,the correct option is $D$.

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